Additives to Suppress Silica Scale Build-Up

ABSTRACT

Treatments and compounds useful in subterranean formations are discussed, with particular attention to those where particulates and/or surfaces may be subject to silica scale build-up. Certain embodiments pertain to utilizing silica scale control additives with particulate packs. Of these, certain methods may treat particulate packs in a subterranean formation with silica scale control additives, certain methods may combine silica scale control additives with particulates prior to formation of a particulate pack, and certain compounds may provide the features of both silica scale control additives and particulates.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims benefit of U.S. Provisional Patent Application Ser. Nos. 61/104,610, 61/104,620, 61/104,624, and 61/104,629, each filed Oct. 10, 2008, each of which is herein incorporated by reference.

This application is related to U.S. patent application Ser. No. ______, entitled “Prevention of Water Intrusion into Particulates,” by Nguyen et al., U.S. patent application Ser. No. ______, entitled “Ceramic Coated Particulates,” by Reyes et al., and U.S. patent application Ser. No. ______, entitled “Geochemical Control of Fracturing Fluids,” by Reyes et al., filed on the same day herewith, which are hereby incorporated by reference in their entirety.

BACKGROUND

The present disclosure relates to treatments and compounds useful in subterranean formations, and, at least in some embodiments, to treatments and compounds wherein particulates and/or surfaces may be subject to silica scale build-up.

In the production of fluids, such as hydrocarbons or water, from a subterranean formation, the subterranean formation should be sufficiently conductive to permit the flow of desirable fluids to a well bore penetrating the formation. Among others, hydraulic fracturing may be a useful treatment for increasing the conductivity of a subterranean formation. Hydraulic fracturing operations generally may involve pumping a treatment fluid (e.g., a fracturing fluid or a “pad fluid”) into a well bore that penetrates a subterranean formation at a sufficient hydraulic pressure to create or enhance one or more pathways, or “fractures,” in the subterranean formation. Enhancing a fracture generally involves extending or enlarging a natural or pre-existing fracture in the formation. These fractures generally increase the permeability of that portion of the formation. The treatment fluid may comprise particulates, including proppant particulates that are deposited in the resultant fractures. The particulates are thought to help prevent the fractures from fully closing upon release of the hydraulic pressure, forming conductive channels through which fluid may flow between the formation and the well bore.

It is generally believed that the surfaces of particulates generally comprise minerals, which may react with other substances (e.g., water, minerals, treatment fluids, and the like) that reside in the subterranean formation in chemical reactions caused, at least in part, by conditions created by mechanical stresses on those minerals (e.g., fracturing of the mineral surfaces or the compaction of particulates). These reactions are herein referred to as “stress-activated reactions” or “stress-activated reactivity.” One type of these stress-activated reactions may be diageneous reactions. As used herein, the terms “diageneous reactions,” “diageneous reactivity,” and “diagenesis” include chemical and/or physical processes that, in the presence of water, move a portion of the mineral in a particulate and/or convert a portion of the mineral in a particulate into some other form. A mineral that has been so moved or converted is herein referred to as a “diageneous product” or “diagenic product.” Any particulate comprising a mineral may be susceptible to these diageneous reactions, including natural silicate minerals (e.g., quartz), man-made silicates and glass materials, metal oxide minerals (both natural and man-made), and the like.

Two of the principal mechanisms that diagenesis reactions are thought to involve are “pressure dissolution” and “precipitation processes.” Where two water-wetted mineral surfaces are in contact with each other at a point under strain, the localized mineral solubility near that point may increase, causing the minerals to dissolve. Minerals in solution may diffuse through the water film outside of the region where the mineral surfaces are in contact (e.g., the pore spaces of a particulate pack), where they may precipitate out of solution. The dissolution and precipitation of minerals in the course of these reactions may reduce the conductivity of a particulate pack, inter alia, by clogging the pore spaces in the particulate pack with mineral precipitate and/or collapsing the pore spaces by dissolving solid mineral in the “walls” of those pore spaces. In other instances, minerals on the surface of a particulate may exhibit a tendency to react with substances in the reservoir, formation, and/or treatment fluids that are in contact with the particulates, such as water, gelling agents (e.g., polysaccharides, biopolymers, etc.), and other substances commonly found in these fluids. Molecules from such substances may become anchored to the mineral surface of the particulate. These types of reactivity may further decrease the conductivity of a subterranean formation, inter alia, through the obstruction of conductive fractures in the formation by any molecules that have become anchored to the particulates resident within those fractures. Both types of reactions may generally require the presence of a fluid, such as water, to occur to any significant extent.

Silica (silicon dioxide) appears naturally in a number of crystalline and amorphous forms, all of which are sparingly soluble in water; thus leading to the formation of undesirable deposits. Silicates can be salts derived from silica or the silicic acids, especially orthosilicates and metasilicates, which may combine to form polysilicates. Silica solubility depends on, but not exclusively, a number of factors such as pH, temperature, and ionic composition. Most silicates, except the alkali silicates, are sparingly soluble in water. A number of different forms of silica and silicate salt deposits are possible, and formation of deposits depends, among other factors, on the temperature and pH of the water.

SUMMARY

The present disclosure relates to treatments and compounds useful in subterranean formations, and, at least in some embodiments, to treatments and compounds wherein particulates and/or surfaces may be subject to silica scale build-up.

One embodiment of the present invention provides a method. The method comprises providing a silica scale control additive in a subterranean formation. The method further comprises providing a particulate pack in the subterranean formation. The method further comprises allowing the silica scale control additive to suppress silica scale build-up proximate the particulate pack.

Another embodiment of the invention provides another method. The method comprises providing a fluid comprising a carrier fluid, a plurality of particulates, and a silica scale control additive. The method further comprises introducing the fluid into a subterranean formation. The method further comprises allowing at least some of the particulates to form a particulate pack in the subterranean formation. The method further comprises allowing the silica scale control additive to suppress silica scale build-up proximate the particulate pack.

Yet another embodiment of the invention provides a composition. The composition comprises a plurality of particulates a silica scale control additive, wherein the silica scale control additive is capable of suppressing silica scale build-up proximate the particulate pack.

The features and advantages of the present invention will be apparent to those skilled in the art. While numerous changes may be made by those skilled in the art, such changes are within the spirit of the invention.

DESCRIPTION OF PREFERRED EMBODIMENTS

The present disclosure relates to treatments and compounds useful in subterranean formations, and, at least in some embodiments, to treatments and compounds wherein particulates and/or surfaces may be subject to silica scale build-up.

The term “coating” as used herein refers to at least a partial coating of some or all of the particulates. Neither complete nor substantial coverage of the particulates or mix of particulates is implied by the term “coating.” Rather, a particulate may be coated if it has, for example, at least a partial coating.

The term “derivative” is defined herein to include any compound that is made from one of the listed compounds, for example, by replacing one atom in the listed compound with another atom or group of atoms, rearranging two or more atoms in the listed compound, ionizing one of the listed compounds, or creating a salt of one of the listed compounds. A derivative of a material may include, but is not limited to, a compound composition based on a plurality of base materials, a composite material, or an aggregated material of various compositions.

As used herein, the terms “diageneous reactions,” “diageneous reactivity,” and “diagenesis” include chemical and physical processes that, in the presence of water, move a mineral and/or convert a mineral into some other form. Examples of such minerals include, but are not limited to, oxides or hydroxides of zirconium, magnesium, aluminum, titanium, calcium, strontium, barium, radium, zinc, cadmium, boron, gallium, iron, or any other element suitable for forming a diagenic product. Such minerals may be found in a particulate, in a formation, and/or introduced into a formation as “diagenesis source material.” A mineral that has been so moved or converted is herein referred to as a “diageneous product” or “diagenic product.”

As used herein, the term “aqueous fluid interaction” includes a variety of possible interactions between an aqueous fluid and a particulate. Such interactions may include infiltration of the aqueous fluid into the particulate, for example, by infiltrating pores, voids, crevices, cracks, and/or channels at or near the surface of the particulate. Such interactions may also include diagenesis.

As used herein, the term “diffusion barrier” includes any sort of material, including a coating, on or proximate to a particle that impedes and/or prevents aqueous fluid interaction with the particle. For example, some diffusion barriers fill or coat pores, voids, crevices, cracks, or channels at or near the particle's surface to impede and/or prevent infiltration by the aqueous fluid. As another example, some diffusion barriers impede and/or prevent diagensis.

As used herein, the term “diagenic protective materials” refers to one or more diagenic products that may be selectively promoted in order to form a diffusion barrier.

As used herein, the term “filler” or “filler material” means a particulate material that is capable of fitting within a pore, void, crevice, crack, or channel at or near the surface of a particulate or on surfaces within the porous matrix of the individual particulates.

As used herein, the term “relatively low molecular weight” refers to a molecular weight that would encompass monomers and short-chain polymers having physical dimensions from a few angstroms to several hundred nanometers.

As used herein, a “monolayer” refers to a coating of a material approximately one unit thick. For chemicals, this may mean a coating as thin as one molecule, and for particulate compositions, it may mean a coating one particulate grain deep.

As used herein, the terms “pores,” “voids,” “crevices,” “cracks,” and “channels” refer to features at or near the surface of a particulate. Any given particulate may have one or more pores, voids, crevices, cracks, or channels, or may be free of such features. One or more such features may be generally referred to as “surface features.” The use of the terms in conjunction is in no way intended to indicate that all three must be present simultaneously, or at all, in order for the teachings of the present disclosure to apply.

As used herein, the terms “particle,” “particulate,” “proppant particulate,” and “gravel” are all used to refer to either a single particle or a plurality of particles which may be used for supporting a fracture in an underground formation, for forming a proppant pack, or for use in forming a gravel pack. Such particles may be disposed in a subterranean formation, including in spaces in the rock itself, fractures within the rock, and/or a well bore penetrating the subterranean formation.

As used herein, the term “pack” or “particulate pack” refers to a collection of particulates within an enclosed volume, wherein the particulates may be juxtaposed and/or in contact with one another, and wherein pore spaces may be disposed between the particulates. Examples of “packs” may include “proppant packs,” which may refer to a collection of proppant particulates within a fracture, and/or “gravel packs,” which may refer to a grouping of particulates that are packed sufficiently close together so as to prevent the passage of certain materials through the pack.

The term “on-the-fly” is used herein to indicate that one flowing stream comprising particulates is introduced into another flowing stream comprising a hydrophobic coating agent so that the streams are combined and mixed to flow as a single stream. In some instances, the streams may be combined to flow as a single stream as part of an on-going treatment at the job site. Such mixing can also be described as “real-time” mixing.

As used herein, the term “silica scale control additive” may be any product capable of suppressing silica scale build-up by increasing the solubility of silica in solution, inhibiting silica polymer chain propagation, and/or decreasing the size or quantity of any silica scale created in a solution.

The term “gel,” as used herein and its derivatives refer to a viscoelastic or semi-solid, jelly-like state assumed by some colloidal dispersions.

If there is any conflict in the usages of a word or term in this specification and one or more patent or other documents that may be incorporated herein by reference, the definitions that are consistent with this specification should be adopted for the purposes of understanding this invention.

There are many advantages of the present invention, only some of which are mentioned here. One advantage of the methods disclosed herein may be the suppression of silica scale build-up within a particulate pack in a subterranean formation, including in the rock itself, fractures within the rock, and/or a well bore penetrating the subterranean formation. Without limiting the invention to a particular theory or mechanism, it is nonetheless currently believed that, when placed within a formation, a particulate pack may experience silica scale build-up due to silicon dissolution from either the particulates or the formation. The silicon may dissolve in fluids, such as formation fluids or treatment fluids. The dissolved silicon may then precipitate in various forms to create silica scale within, upstream, or downstream of the particulate pack. Such silica scale may have a tendency to form or collect in the interstitial spaces of the particulate pack, which may reduce the permeability of the pack over time. As such, the suppression or inhibition of silicon dissolution and silica scale build-up may be able to reduce the permeability loss in the particulate pack, thereby increasing the ultimate productivity of the well.

Protecting particulates from such damage may be achieved in several ways. In an embodiment, a silica scale control additive may be utilized to treat a particulate pack. The silica scale control additive may suppress silica scale build-up by increasing the solubility of silicon within the particulate pack while simultaneously preventing large build-ups of silica scale. Various silica scale control additives may be used to limit the silica scale formation, as discussed in more detail below.

Protecting particulates from damaging interactions with aqueous fluids may be achieved in several ways. In accordance with embodiments of the present invention, these generally may include treating a particulate with a diffusion barrier which acts to impede the particulate interaction with aqueous fluids during and/or after placement in the formation. The diffusion barrier may comprise one of several types of materials, including hydrophobic materials, diagenic protective materials, and various polymeric compositions. Some embodiments of the present invention may utilize filler material to fill the pores, voids, crevices, cracks, or channels that may be present in a particulate surface. Alternatively, a filler material may be used to generate and/or place the diffusion barrier. For example, a hydrophobic material may be used to coat a filler material, and the filler material may then generate a diffusion barrier (e.g., comprising a diageneous product) on the particulates. The filler material may fill the pores, voids, crevices, cracks, or channels on the particulate surface, resulting in a surface that may be more hydrophobic than the original particulate surface. Each of these materials and methods will be described in more detail below.

The particulates that may be used in embodiments of the present invention include any proppant or gravel particulates that may be used in a subterranean application. Suitable particulates may include sand, sintered bauxite, silica alumina, glass beads, etc. Other suitable particulates include, but are not limited to, sand, bauxite, garnets, fumed silica, ceramic materials, glass materials, polymer materials, polytetrafluoroethylene materials, nut shell pieces, seed shell pieces, fruit pit pieces, wood, composite particulates, proppant particulates, degradable particulates, coated particulates, gravel, and combinations thereof. Suitable composite materials may comprise a binder and a particulate material wherein suitable particulate materials may include silica, alumina, garnets, fumed carbon, carbon black, graphite, mica, titanium dioxide, meta-silicate, calcium silicate, kaolin, talc, zirconia, boron, fly ash, hollow glass microspheres, solid glass, and combinations thereof. In certain embodiments, the particles may comprise common sand. In some embodiments, a derivative of one or more of the particulate materials may also be used. Derivatives may include materials such as compounds, composite materials, and aggregated materials of various compositions. In some embodiments of the present invention, some or all of the particulates may be comprised of a diagenesis source material. In this embodiment, the particulates may comprise oxides or hydroxides of zirconium, magnesium, aluminum, titanium, calcium, strontium, barium, radium, zinc, cadmium, boron, gallium, iron, or any other element suitable for forming a diagenic product. Suitable particulates may take any shape including, but not limited to, the physical shape of platelets, shavings, flakes, ribbons, rods, strips, spheres, spheroids, ellipsoids, toroids, pellets, or tablets. Although a variety of particulate sizes may be useful in the present invention, in certain embodiments, particulate sizes may range from about 200 mesh to about 8 mesh.

Embodiments of particulates of the present invention may contain pores, voids, crevices, cracks, or channels at or near the surface. For example, SEM micrographs at high magnification may show that the surfaces of particles, such as particulates made from bauxite, may be laden with pores, voids, crevices, cracks, and channels. Without being limited by theory, it is believed that these pores, voids, crevices, cracks, or channels at or near the particulate surface may provide a direct path to allow a detrimental interaction between aqueous fluids and the particles that may lead to degradation of the particles under formation pressure and temperature.

In some embodiments, the particulates may be treated or coated with one or more suitable substances. Generally, the particulates may be treated or coated with any substance which is suitable for traditional particulate treatments. In certain embodiments, the particulates may be coated so as to impede the intrusion of water into the particulates. For example, the particulates may be coated and/or used as discussed in “Prevention of Water Intrusion Into Particulates” by Nguyen et al., U.S. patent application Ser. No. ______, “Geochemical Control of Fracturing Fluids” by Reyes et al., U.S. patent application Ser. No. ______, and/or “Ceramic Coated Particulates” by Reyes et al., U.S. patent application Ser. No. ______, each filed on the same day herewith, and the entire disclosures of which are hereby incorporated by reference in their entirety. In an embodiment, a portion of the particulates may be coated so as to limit their diagenic reactivity while others may remain uncoated so as to provide a reaction site for the diagenesis source material.

In an embodiment, a silica scale control additive may be used with a particulate pack (e.g., a proppant or gravel pack) to suppress silica scale build-up by mitigating, inhibiting, or suppressing the formation and build-up of silica (also known as silica scale). Formation of silica scale may occur on the particulates, on the formation fracture face, or in a solution within a particulate pack. Silica scale control additives may increase the amount of soluble silica within a solution. Without intending to be limited by theory, it is believed that the silica scale control additives inhibit the polymerization and build-up of silicic acid and colloidal silica by disrupting chain propagation. In an embodiment, a silica scale control additive may be any compound which controls the formation of scale to some degree and does not negatively react with the particulates, the formation, a treatment fluid, a formation fluid, or any other aspect of the subterranean environment. In an embodiment, suitable silica scale control additives may include polyaminoamide dendrimers and polyethyleneimine, which may be combined with carboxymethylinulin and polyacrylates. In an alternative embodiment, polyallylamines, copolymers of polyacrylamides, and polyallyldiamethylammonium chloride may also be used as silica scale control additives. Examples of suitable silica scale control additives include Acumer™ 5000, commercially available from Rohm and Hass of Philadelphia, Pa.; and Cla-Sta® XP and Cla-Sta® FS available from Halliburton Energy Services, Inc. of Duncan, Okla.

In some embodiments, a silica scale control additive may be added to a treatment fluid (e.g., a fracturing fluid, a carrier fluid, a stimulation fluid, etc.) in an amount sufficient to suppress silica scale build-up by inhibiting the formation of silica scale. The treatment fluid may be aqueous, non-aqueous, or a combination of fluid types. Generally, the treatment fluid may comprise a carrier fluid, particulates, such as proppant, and one or more additives, such as silica scale control additives. In some embodiments, the amount of silica scale control additive may be any amount necessary to control silica and silicate deposition in the system being treated. In an embodiment, the amount may be any amount sufficient to obtain a retained permeability in a proppant pack of at least about 40%, the measurement of which is described in more detail below. In an embodiment, the amount of silica scale control additive may range from about 1 to about 1000 parts per million (ppm) by weight of the carrier fluid. In an alternative embodiment, the amount may range from about 1 to about 100 ppm by weight of the carrier fluid. The pH of the carrier fluid may also have an impact on the effectiveness of the silica scale control additive. In some embodiment, the pH of the carrier fluid may be maintained at between about 4.0 and about 8.0. In an embodiment, the pH of the carrier fluid may be maintained between about 6.5 and about 7.5.

Silica scale control additives may be added to a well bore before, after, or during the placement of a particulate pack. In an embodiment, the silica scale control additive may be added to a fracturing fluid and carried with the fracturing fluid during formation of the fractures. In this embodiment, the silica scale control additive may be in the fracturing fluid in the formation during the placement and setting of a particulate pack. Alternatively, the silica scale control additive may be mixed with a carrier fluid used to carry and set the particulate pack in the formation. In still another embodiment, a silica scale control additive may be utilized after a particulate pack has been placed in the well bore. In such embodiments, a carrier fluid may be used to carry the silica scale control additive into the well bore and through the particulate pack. By way of example, a particulate pack may be contacted by a silica scale control additive. This technique also may be used as a subsequent treatment method to periodically treat the particulate pack over time, among other purposes, in order to maintain permeability in the particulate pack.

One embodiment of the present invention provides a method. The method comprises providing a silica scale control additive in a subterranean formation. The method further comprises providing a particulate pack in the subterranean formation. The method further comprises allowing the silica scale control additive to suppress silica scale build-up proximate the particulate pack. In some embodiments, this method may be useful in the recovery of fluids from the subterranean formation. The fluids being recovered may be a fluid previously introduced into the subterranean formation, an aqueous reservoir and/or formation fluid, a hydrocarbon fluid, or a combination thereof.

Another embodiment of the invention provides another method. The method comprises providing a fluid comprising a carrier fluid, a plurality of particulates, and a silica scale control additive. The method further comprises introducing the fluid into a subterranean formation. The method further comprises allowing at least some of the particulates to form a particulate pack in the subterranean formation. The method further comprises allowing the silica scale control additive to suppress silica scale build-up proximate the particulate pack. In some embodiments, this method may be useful in the recovery of fluids from the subterranean formation. The fluids being recovered may be a fluid previously introduced into the subterranean formation, an aqueous reservoir and/or formation fluid, a hydrocarbon fluid, or a combination thereof.

Yet another embodiment of the invention provides a composition. The composition comprises a plurality of particulates a silica scale control additive, wherein the silica scale control additive is capable of suppressing silica scale build-up proximate the particulate pack. In some embodiments, this method may be useful in preparation of particulates for subterranean treatments and/or usage of particulates in subterranean treatments.

In order to quantify the mechanical strength of the particulates and permeability of the particulate pack, both before and after exposure to formation conditions and fluids, several test procedures may be utilized to determine various particulate properties. The first test method studies temperature-promoted diagenesis of a particulate pack by exposing a particulate pack to a flowing solution of simulated formation fluid at an approximate formation temperature. The second procedure studies stress/temperature-promoted diagenic growth through exposure of a particulate pack to a static flow environment under simulated formation pressures and temperatures. The mechanical strength of individual particulates may be measured before and after the test procedures to determine the percentage of particulate strength lost due to exposure to formation temperature or pressure. Alternatively, the permeability of the particulate pack may be measured before and after the temperature-promoted diagenesis test in order to determine a retained permeability value for the particulate pack. As would be understood by one of ordinary skill in the art with the benefit of this disclosure, expected subterranean formation conditions (e.g., temperature, pressure, formation fluid composition) for a selected subterranean formation will determine the appropriate formation conditions for test procedures.

In the temperature-promoted diagenesis test procedure, deionized water may first be heated to a test temperature of between about 200 degrees Fahrenheit (° F.) and about 600° F. by passing it through a heat exchanger coil. Simulated formation fluid may be formed by passing the deionized water through multiple packs of crushed formation material arranged in series. The number of formation packs required for the test may vary such that the simulated formation fluid leaving the last pack may be in equilibrium with the crushed formation material. Through experimentation, the typical number of formation packs may generally be between about 1 and about 10. Crushed formation material may be screened to remove fines and an approximately 8/35 mesh fraction may be used in the formation packs.

In an embodiment, once a simulated formation fluid in equilibrium with the crushed formation material is obtained, the simulated formation fluid may be directed to a column containing a particulate pack. The temperature in the particulate pack may be maintained at an approximate formation temperature between about 200° F. and about 600° F., which approximately corresponds to the temperature of the deionized water first entering the system. A flow rate of simulated formation fluid may be maintained at approximately 1 milliliter per minute during the test.

The flow test may be maintained for between about 10 to about 200 days, and in an embodiment, for at least about 20 days. After this time, the particulate pack may be disassembled in order to test the mechanical properties of individual particles, as discussed in more detail below. For example, surface and compositional analysis may be made after disassembly to determine what types of materials are being formed under the simulated formation conditions. A permeability test may also be performed at this time. In this test, the permeability of the particulate packs may be measured at room temperature prior disassembly of the particulate pack. The measured permeability of the pack may then be compared with an initial permeability measurement made of the pack at room temperature before the pack is placed in the testing apparatus. Comparing the initial permeability measurement with the permeability measurement obtained after the pack is subjected to the test conditions may allow for a retained permeability to be calculated.

The stress/temperature-promoted diagenesis test method may involve the testing of the particulate pack under static flow conditions at approximate formation pressures and temperatures. In this method, a pack of particulates may be loaded in a test cell and filled with a salt solution. The test cell may be loaded from between about 0.5 pounds per square foot (lb/ft²) of particulates to about 3.0 lb/ft² of particluates. In an embodiment, an approximately 2% KCl solution may be used as the fluid medium. Formation wafers, either manufactured from formation core material or from rock outcrop material, may be placed above and below the particulate pack in the test column. The system may then be shut in and placed under simulated formation pressure and heated to approximate formation temperatures. In an embodiment of this method, the temperature may be maintained at between about 100° F. and about 550° F. In another embodiment, the temperature may be maintained at between about 100° F. and about 350° F. The pressure may be maintained at between about 2,000 psi and about 10,000 psi. In another embodiment, the pressure may be maintained at between about 5,000 psi and about 8,000 psi. In an embodiment, the test may be conducted for between about 1 to about 50 weeks, and in another embodiment, the test may be conducted for at least about 4 weeks (about 28 days).

Upon completion of the stress/temperature-promoted diagenesis test, the test cell may be disassembled and the particulate pack removed for testing. As with the flow test method, additional tests may also be performed at this time. For example, surface and compositional analysis may be made after disassembly to determine what types of materials are being formed under the simulated formation conditions. Alternatively, the resulting interstitial fluid may be analyzed to determine the relative solubility of the particulates under formation conditions.

Changes in the mechanical properties of the particulates obtained from either the stress/temperature-promoted diagenesis test or the temperature-promoted diagenesis test may be determined using a single-grain crush-strength analysis. The analysis may utilize a Weibull statistical analysis procedure based on a plurality of particulate crush samples. The crush test may be based on a uni-axial compressive point loading of a particle. Under a compressive loading in the uni-axial direction, a spherical particle may be under tension in directions perpendicular to the loading with a tensile stress, σ, calculated by

$\sigma = \frac{2.8F}{\pi \; d^{2}}$

where d is the diameter of each particle and F is the load at failure.

A Weibull analysis may include a statistically significant number of crush samples, which may range from about 10 to about 50 individual crush samples, or from about 20 to about 40 individual crush samples. In an embodiment, a sample size of between about 25 and about 30 individual crush samples of particulates may be used in the analysis. All of the strength data points may then be sorted from low to high as σ₁<σ₂<σ₃< . . . <σ_(N), where N represents the total number of samples. A probability of failure may be calculated from the equation:

$P_{f} = \left( \frac{\# - 0.5}{N} \right)$

where, as before, N is the total number of samples, for example about 30 samples, and # is the index number for the sorted strength values (e.g., 1 through N). A linear plot may be obtained by plotting

${\ln \left( {\ln \left( \frac{1}{1 - P_{f}} \right)} \right)}\mspace{14mu} {vs}\mspace{20mu} {\ln (\sigma)}$

A Weibull distribution may be found by linear fitting and generating an equation:

${\ln \left( {\ln \left( \frac{1}{1 - P_{f}} \right)} \right)} = {m\; {\ln \left( \frac{\sigma}{\sigma_{0}} \right)}}$

where m is the Weibull modulus and σ₀ is the characteristic strength. The strength will tend to increase along with the reliability of the strength calculation when the σ₀ and m values increase. The characteristic strength changes in the particulates may then be determined. By comparing the characteristic strength of the particulates prior to exposure to the simulated formation fluid with the characteristic strength of the particulates after exposure to the simulated formation fluid, a retained strength value may be calculated from the equation:

$\sigma_{0\mspace{20mu} {retained}} = \left( \frac{\sigma_{0\mspace{14mu} {exposed}}}{\sigma_{0\mspace{14mu} {unexposed}}} \right)$

where, σ_(0 exposed) is the characteristic strength of the particles after exposure to the simulated formation fluid, and σ_(0 unexposed) is the characteristic strength of the particles prior to exposure. Similarly, a retained permeability may be calculated by dividing the permeability measured at the end of the temperature-promoted diagenesis test with the permeability measured at the beginning.

In an embodiment, a single set of test conditions may be utilized for comparison of different sets of sets of particles comprising diffusion barriers and/or filler materials. The retained strength value is defined to be measured by the stress/temperature-promoted diagenesis test. In this method, a pack of particulates is loaded in a test column and filled with a salt solution comprising an approximately 2% KCl solution. The test cell is loaded with about 2 lb/ft² of particulates. Formation wafers are placed above and below the particulates in the test cell. The system is then shut in and placed under a pressure that is approximately equal to the pressure expected in the formation in which the particulates are expected to be placed. The temperature may be maintained at a temperature that is approximately equal to the formation temperature where the particulates are expected to be placed. For example, the system may be placed under simulated formation pressure of about 9000 psi and temperature of about 250° F. These conditions are then maintained for about 28 days.

Upon completion of the stress/temperature-promoted diagenesis test, the test cell is disassembled and the particulate matrix removed for testing. Changes in the mechanical properties of the particulates are obtained using particulates tested using the stress/temperature-promoted diagenesis test. The analysis utilizes a Weibull statistical analysis procedure based on a plurality of particulate crush samples, as discussed above. A single analysis includes a statistically significant number of samples, which may be between about 20 and about 40 samples, e.g., approximately 30 crushed samples of individual particles. However, in some instances, the sample size may vary such that the actual number of samples is smaller or larger in order to obtain a statistically significant number of samples. The characteristic strength changes in the particulates may then be determined. By comparing the characteristic strength of the particulates prior to exposure to the simulated formation fluid with the characteristic strength of the particulates after exposure to the simulated formation fluid, a retained strength value is calculated from the equation:

$\sigma_{0\mspace{14mu} {retained}} = \left( \frac{\sigma_{0\mspace{14mu} {exposed}}}{\sigma_{0\mspace{14mu} {unexposed}}} \right)$

where, σ_(0 exposed) is the characteristic strength of the particles after exposure to the simulated formation fluid, and σ_(0 unexposed) is the characteristic strength of the particles prior to exposure.

Similarly, the retained permeability value of the particulate pack is defined to be measured by the temperature-promoted diagenesis test. In the temperature-promoted diagenesis test procedure, an initial permeability measurement is made of a particulate pack while the particulate pack is at room temperature. Deionized water is then heated to a test temperature of approximately 500° F. by passing it through a heat exchanger coil. Lower test temperatures may also be used depending on the specific particulate material and coating used. For example, one of ordinary skill in the art may determine that a lower test temperature is required in order to avoid thermal decomposition of the particulates, the diffusion barrier, or the filler material. Simulated formation fluid is formed by passing the deionized water through multiple packs of crushed formation material arranged in series. The number of formation packs required for the test may vary such that the simulated formation fluid leaving the last pack is in equilibrium with the crushed formation material at the flow rate used during the test of approximately 1 milliliter per minute. The typical number of formation packs is generally between about 2 and about 5. Crushed formation material is screened and an approximately 8/35 mesh fraction is used in the formation packs. The formation material is obtained by crushing a core withdrawn from a specific well during drilling or from dill cuttings obtained while a well is being drilled through a zone of interest.

The simulated formation fluid is then directed to a column containing a particulate pack. The temperature in the particulate pack is maintained at a temperature of about 500° F. A lower test temperature may be used depending on the specific particulate material and coating material used. For example, one of ordinary skill in the art may determine that a lower test temperature is required in order to avoid thermal decomposition of the particulates, the diffusion barrier, or the filler. A flow rate of simulated formation fluid is maintained at approximately 1 milliliter per minute during the test. The flow test is maintained for about 30 days. After this time, permeability of the particulate pack is measured prior to disassembly and after the particulate pack has been allowed to cool to room temperature, allowing for a retained permeability to be calculated from the equation:

${Permeability}_{retained} = \left( \frac{{Permeability}_{exposed}}{{Permeability}_{unexposed}} \right)$

where, Permeability_(exposed) is the permeability of the particles after exposure to the simulated formation fluid, and Permeability _(unexposed) is the permeability of the particles prior to exposure.

Particulates prepared and tested according to the methods of the current invention using the characteristic conditions of the embodiment may exhibit a retained strength value of greater than about 20%. Alternatively, the particulates may exhibit a retained strength value of greater than about 60%. In still another embodiment, the particulates may exhibit a retained strength value of greater than about 80%. In yet another embodiment, the particulates may exhibit a retained strength value of greater than about 90%. In an embodiment, the particulates used to form a pack may be characterized by a retained permeability value of at least about 40%. In another embodiment, the particulates may be characterized by a retained permeability of at least about 60%. In still another embodiment, the particulates may be characterized by a retained permeability of at least about 80%. In some embodiments, the retained permeability may be at least about 99%.

Therefore, the present invention is well adapted to attain the ends and advantages mentioned as well as those that are inherent therein. The particular embodiments disclosed above are illustrative only, as the present invention may be modified and practiced in different but equivalent manners apparent to those skilled in the art having the benefit of the teachings herein. Furthermore, no limitations are intended to the details of construction or design herein shown, other than as described in the claims below. It is therefore evident that the particular illustrative embodiments disclosed above may be altered or modified and all such variations are considered within the scope and spirit of the present invention. While compositions and methods are described in terms of “comprising,” “containing,” or “including” various components or steps, the compositions and methods can also “consist essentially of” or “consist of” the various components and steps. All numbers and ranges disclosed above may vary by some amount. Whenever a numerical range with a lower limit and an upper limit is disclosed, any number and any included range falling within the range is specifically disclosed. In particular, every range of values (of the form, “from about a to about b,” or, equivalently, “from approximately a to b,” or, equivalently, “from approximately a-b”) disclosed herein is to be understood to set forth every number and range encompassed within the broader range of values. Also, the terms in the claims have their plain, ordinary meaning unless otherwise explicitly and clearly defined by the patentee. Moreover, the indefinite articles “a” or “an,” as used in the claims, are defined herein to mean one or more than one of the element that it introduces. If there is any conflict in the usages of a word or term in this specification and one or more patent or other documents that may be incorporated herein by reference, the definitions that are consistent with this specification should be adopted. 

1. A method comprising: providing a silica scale control additive in a subterranean formation; providing a particulate pack in the subterranean formation; and allowing the silica scale control additive to suppress silica scale build-up proximate the particulate pack.
 2. The method of claim 1, wherein the silica scale control additive comprises at least one substance selected from the group consisting of: a polyaminoamide dendrimer, a polyethyleneimine, a carboxymethylinulin, a polyacrylate, a polyallylamine, a copolymer of polyacrylamide, a polyallyldiamethylammonium chloride, any combination thereof, and any derivative thereof.
 3. The method of claim 1, wherein the silica scale control additive is present in a fluid in a concentration of between about 1 and about 1000 parts per million by weight of the fluid.
 4. The method of claim 3, wherein the fluid has a pH of greater than or equal to about 4.0 and less than or equal to about 8.0.
 5. The method of claim 1, wherein the particulate pack has a retained permeability of about 40% or more as determined using a temperature-promoted diagenesis test using formation conditions expected for the subterranean formation.
 6. The method of claim 1, wherein: the particulate pack comprises a plurality of particulates; and at least some of the plurality of particulates are coated with a hydrophobic coating material.
 7. A method comprising: providing a fluid comprising: a carrier fluid; a plurality of particulates; and a silica scale control additive; introducing the fluid into a subterranean formation; allowing at least some of the particulates to form a particulate pack in the subterranean formation; and allowing the silica scale control additive to suppress silica scale build-up proximate the particulate pack.
 8. The method of claim 7, wherein the silica scale control additive comprises at least one substance selected from the group consisting of: a polyaminoamide dendrimer, a polyethyleneimine, a carboxymethylinulin, a polyacrylate, a polyallylamine, a copolymer of polyacrylamide, a polyallyldiamethylammonium chloride, any combination thereof, and any derivative thereof.
 9. The method of claim 7, wherein the plurality of particulates comprise at least one substance selected from the group consisting of: a sand, a sintered bauxite, a silica alumina, a glass bead, a bauxite, a fumed silica, a ceramic material, a glass material, a polymer material, a polytetrafluoroethylene material, a composite particulate, a coated particulate, a degradable particulate, a proppant, a gravel, any combination thereof, and any derivative thereof.
 10. The method of claim 7, wherein the carrier fluid comprises at least one substance selected from the group consisting of: an aqueous fluid, a hydrocarbon fluid, a gel, and a derivative thereof.
 11. The method of claim 7, wherein the silica scale control additive is present in the fluid in a concentration of between about 1 and about 1000 parts per million by weight of the carrier fluid.
 12. The method of claim 7, wherein the carrier fluid has a pH of greater than or equal to about 4.0 and less than or equal to about 8.0.
 13. The method of claim 7, wherein the particulate pack is a proppant pack disposed in one or more fractures in the subterranean formation.
 14. The method of claim 7, wherein the particulate pack has a retained permeability of about 40% or more as determined using a temperature-promoted diagenesis test using formation conditions expected for the subterranean formation.
 15. The method of claim 7, wherein at least some of the plurality of particulates are coated with a hydrophobic coating material.
 16. A composition comprising: a plurality of particulates; and a silica scale control additive, wherein the silica scale control additive is capable of suppressing silica scale build-up proximate the plurality of particulates.
 17. The composition of claim 16, wherein the silica scale control additive comprises at least one substance selected from the group consisting of: a polyaminoamide dendrimer, a polyethyleneimine, a carboxymethylinulin, a polyacrylate, a polyallylamine, a copolymer of polyacrylamide, a polyallyldiamethylammonium chloride, any combination thereof, and any derivative thereof.
 18. The composition of claim 16, wherein the plurality of proppant particulates comprise at least one substance selected from the group consisting of: a sand, a sintered bauxite, a silica alumina, a glass bead, a bauxite, a fumed silica, a ceramic material, a glass material, a polymer material, a polytetrafluoroethylene material, a composite particulate, a coated particulate, a degradable particulate, a proppant, a gravel, any combination thereof, and any derivative thereof.
 19. The composition of claim 16, wherein at least some of the plurality of particulates are coated with a hydrophobic coating material.
 20. The composition of claim 16, wherein: at least some of the plurality of particulates are disposed in a particulate pack in a subterranean formation; and the particulate pack has a retained permeability of about 40% or more as determined using a temperature-promoted diagenesis test using formation conditions expected for the subterranean formation. 